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rebelmaths

Application of the binomial distribution given probabilities of success of an event.

Finding probabilities using the binomial distribution.

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Reduce a 5x6 matrix to row reduced form and using this find rank and nullity.

Given a factor of a cubic polynomial, factorise it fully by first dividing by the given factor, then factorising the remaining quadratic.

Finding the product of a linear function of the form $mx+c$ and a cubic function of the form $ax^3+bx^2+cx+d$.

Finding the product of two linear functions of the form $mx+c$ and a quadratic function of the form $ax^2+bx+c$.

Finding the product of three linear functions of the form $mx+c$.

Finding the product of two linear functions of the form $mx+c$.

Finding linear combinations of two quadtratic expressions of the form $ax^2+bx+c$.

Factorise a cubic expression into the product of three linear factors of the form $mx+c$, where one of the factors is given. 

Finding the coordinates and determining the nature of the stationary points on a polynomial function

A question to practice equation line and finding gradients

Finding the coordinates and determining the nature of the stationary points on a polynomial function

Finding the lengths and angles within a right-angled triangle using: pythagoras theorem, SOHCAHTOA and principle of angles adding up to 180 degrees.

A quadratic equation (equivalent to $(x+a)^2-b$) is given and sketched. Three equations are given that can be solved using the graph. There is a chance there will only be one solution.

Finding X-Y intercepts for quadratic and cubic equations.

Finding the confidence interval at either 90%, 95% or 99% for the mean given the mean of a sample. The population variance is given and so the z values are used. Various scenarios are included.

Finding the confidence interval at either 90%, 95% or 99% for the mean given the mean of a sample. The population variance is given and so the z values are used. Various scenarios are included.

Finding composite functions of a quadratic function and a logarithmic function.

Finding the confidence interval at either 90%, 95% or 99% for the population variance of a sample. $\chi^2$ tables are used. A single scenario is given.

Finding the modulus and argument (in radians) of four complex numbers; the arguments between $-\pi$ and $\pi$ and careful with quadrants!

Finding the resistive voltage in a simple series RL circuit.

Finding the current in a simple parallel RL circuit.

Finding the inductive current in a simple parallel RL circuit.

Finding the inductance in a simple series RL circuit.

Finding the resistance in a simple parallel RL circuit.

Finding the confidence interval at either 90%, 95% or 99% for the mean given the mean and standard deviation of a sample. The population variance is not given and so the t test has to be used. Various scenarios are included.

Finding the confidence interval at either 90%, 95% or 99% for the mean given the mean of a sample. The population variance is given and so the z values are used. Various scenarios are included.

Calculating the original amount when told that $p\%$ is $x$. The value given can be non-integer.